18268634448 has 240 divisors, whose sum is σ = 54840240000. Its totient is φ = 5666798592.

The previous prime is 18268634431. The next prime is 18268634479. The reversal of 18268634448 is 84443686281.

It is a happy number.

18268634448 is a `hidden beast` number, since 1 + 82 + 68 + 63 + 4 + 448 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18268634394 and 18268634403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13057653 + ... + 13059051.

It is an arithmetic number, because the mean of its divisors is an integer number (228501000).

Almost surely, 2^18268634448 is an apocalyptic number.

18268634448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18268634448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420120000).

18268634448 is an abundant number, since it is smaller than the sum of its proper divisors (36571605552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18268634448 is a wasteful number, since it uses less digits than its factorization.

18268634448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1545 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 18268634448 in words is "eighteen billion, two hundred sixty-eight million, six hundred thirty-four thousand, four hundred forty-eight".